This paper proposes a novel method to compute emotional parameters based on Russell's 2D circumplex diagram for simulating and visualizing asymmetric facial expressions. Based on a large set of emotion coordinates allocated by psychologists, we have selected a uni- formly well-distributed subset and associate to each corresponding facial expressions using 16 facial joints with three degree of freedom for each (rotations). From the advanced 2D (valence, arousal) emotional space and facial expression samples, we were able to demonstrate smooth and asymmetric facial interpolation in the entire 2D circumplex space. The proposed method for facial expression can be applied to various envi- ronments relative to entertainment such as movies, games, and virtual reality.